Will blender 2.8 official realise be able to run on computer with graphics driver that is lower then OpenGL 3.3
It will not. As stated on the official page, minimum requirements demand at least a minimum supported OpenGl Version of 3.3.

A consensus was reached that this was required to allow supporting all new and upcoming features features of EEVEE viewport. This includes realistic graphics and high visual fidelity, higher viewport performance, better use of resources and take advantage of modern hardware and new graphics cards features, without many compromises for newer hardware.

Unfortunately this means dropping support for older cards and more dated hardware.


For AMD cards, versions prior to HD 2000 series (circa 2007) are no
longer supported
For NVidia cards this means cards older then the GeForce 8 series (G##8000 circa 2010) are no longer supported
For Intel integrated graphics cards you must have at least sixth generation IGP, generally on a i# 2#### processor or newer


Unfortunately if you have hardware older than the above mentioned cards, or that somehow doesn't support OpenGL 3.3 you won't be able to run version of Blender newer than 2.8#. You can try to upgrade your drivers to the newest supported version (unlikely, but some times support was later added to older cards).

You can always run versions from 2.79 and prior.